Title of article :
Equivalence of K-Functionals and Modulus of Smoothness for Fourier Transform
Author/Authors :
Daher, R Department of Mathematics - Faculty of Science Ain Chock - University Hassan II- Casablanca, Morocco , El Hamma, M Department of Mathematics - Faculty of Science Ain Chock - University Hassan II- Casablanca, Morocco
Abstract :
In Hilbert space L2(Rn), we prove the equivalence between the modulus of smoothness and the
K-functionals constructed by the Sobolev space corresponding to the Fourier transform. For this
purpose, Using a spherical mean operator.
Keywords :
Fourier Transform , Spherical Mean Operator , K-Functionals , Modulus of Smoothness
Journal title :
Astroparticle Physics
